Answer:
34.224
Step-by-step explanation:
C(2.76, 310) means you want to evaluate the expression for g=2.76 and d=310. Put those numbers where the variables are and do the arithmetic.
[tex]C(2.76,310)=\dfrac{2.76\cdot 310}{25}=\dfrac{855.6}{25}=\boxed{34.224}[/tex]
Consider the function represented by 9x+3y = 12 with x as the independent variable. How can this function be
written using function notation?
ORD=-v+
O f(x) = -3x+4
OF) = -3y+ 4
Answer:
f(x) = - 3x + 4
Step-by-step explanation:
letting y = f(x) , rearrange making y the subject
Given
9x + 3y = 12 ( subtract 9x from both sides )
3y = - 9x + 12 ( divide all terms by 3 )
y = - 3x + 4, thus
f(x) = - 3x + 4 ← in functional notation
what does ^2 mean????????????????????????????????????????????????????????????
Answer and Step-by-step explanation:
What does ^2 mean? Well, first let's find out what ^ means, this is "squaring". So, ^2 means two is squared by another number. Such as 6^2. Six is squared by two.
Hope you found this helpful! Have a wonderful day!
you save $150 per month for 2 years. what is the total amount you have saved?
The answer is 300 because 2 times 15 is 30 than you just add the zero
Answer:
$300
Step-by-step explanation:
i think you multiply 150 by 2 to get 300
Need help with this question!!!
Pls explain!!!
3=-(4x+7)+3x
Answer:
x=-10
Step-by-step explanation:
3=-(4x+7)+3x
move all terms to the left:
3-(-(4x+7)+3x)=0
calculate terms in parentheses: -(-(4x+7)+3x), so:
-(4x+7)+3x
add all the numbers together, and all the variables
3x-(4x+7)
get rid of parentheses
3x-4x-7
add all the numbers together, and all the variables
-1x-7
Back to the equation:
-(-1x-7)
get rid of parentheses
1x+7+3=0
add all the numbers together, and all the variables
x+10=0
move all terms containing x to the left, all other terms to the right
x=-10
Pls help me on question 15
please help!! Two sides of a triangle, a and b, have lengths 1 in
Answer:
Angle A and B: tan^-1 (1/1) = 45°
Angle C: 90°
Side C:
[tex] \sqrt{ {1}^{2} + {1}^{2} } = \sqrt{2} [/tex]
PLEASE MARK AS BRAINLIEST
Ms.Samuel has taken a survey of college students and found that 1 out of 7 students are liberal arts majors. If a college has 12,000 students, what is the best estimate of the number of students who are liberal arts majors
Answer:
1714 studentsStep-by-step explanation:
If 1 out of 7 students are liberal arts majors based on Ms. samuel survey, the estimate of the number of students who are liberal arts majors if the total number of student in the college s 12,000 can be gotten using the equality expression.
7 students = 1 liberal art major student
12,000 = x liberal art major students
cross multiply
7*x = 12000*1
7x = 12000
divide both sides by 7
7x/7 = 12000/7
x = 1714.29
x≈ 1714
Hence the best estimate for the number of students who are liberal arts majors is 1714 students.
What is the first step in evaluating the expression shown below?
12 ÷ (74 – 36) + 8 – 2
a
Subtract 74 – 36.
b
Divide 12 ÷ 74.
c
Add 36 + 8.
d
Subtract 8 – 2.
Answer:
A
Step-by-step explanation:
because it is is parenthesis
20 points
5. Convert the following standard equation to slope-intercept form (y =
mx + b) and identify the slope: 8x + 2y = 20 *
Answer:
y = -4x +10
Slope = -4
Step-by-step explanation:
[tex]8x + 2y = 20[/tex]
Slope intercept form =
[tex]y = mx + b[/tex]
[tex]2y = - 8x + 20[/tex]
Divide both sides of the equation by 2
[tex] \frac{2y}{2} = \frac{ - 8x}{2} + \frac{20}{2} [/tex]
Simplify
[tex]y = - 4x + 10[/tex]
In y= mx+b , m is the slope and the coefficient of x
[tex]m = - 4[/tex]
2(4m + 1) = 4(3 + 2m) what os the value of m in the equation below?
Answer:
No solution.
Step-by-step explanation:
[tex]2(4m + 1) = 4(3 + 2m)\\[/tex]
Expand:
[tex]2\times4m+2\times1=4\times3+4\times2m[/tex]
[tex]8m+2=12+8m[/tex]
Subtract 2 from both sides:
[tex]8m+2-2=12+8m-2[/tex]
[tex]8m=8m+10[/tex]
Subtract 8m from both sides:
[tex]8m-8m=8m+10-8m[/tex]
[tex]0=10[/tex]
Since both sides are not equal, there is no solution, because the value of m will not affect this end result of [tex]0=10[/tex] which is false.
Answer:
any or all real number, meaning anything works, the equations are equal!
Step-by-step explanation:
2(4m + 1) = 4(3 + 2m)
8m+2=12+8m
8m=10+8m
0=10
this means that m can be any real number
hope this helped!
Walk me through solving this one-step equation for x.
-18 + x = -11
-18 + x = -11
Let's add 18 to both sides
x = 7
Answer:
7
Step-by-step explanation:
Step 1:
- 18 + x = - 11
Step 2:
x = - 11 + 18
Answer:
x = 7
Hope This Helps :)
what type of angle is <CEB?
Answer:
obtuse angle
Step-by-step explanation:
m(<CEA)=m(<BED)=88 (vertically opposite angles)
So m(<CEB)+m(<AED)=360-(88+88)=182
m(<CEB)=m(<AED)= 182÷2=92
What is the product of 2x - 5 and 3x2 + 5x - 7? Write your answer in standard form.
(a) Show your work.
(b) is the product of 2x - 5 and 3x2 + 5x - 7equal to the product of 5x - 2 and 3x2 + 5x - 7? Explain your
answer.
Answer:
a) 6x³ − 5x² − 39x + 35
b) no
Step-by-step explanation:
(2x − 5) (3x² + 5x − 7)
Distribute:
3x² (2x − 5) + 5x (2x − 5) − 7 (2x − 5)
Distribute again:
6x³ − 15x² + 10x² − 25x − 14x + 35
Combine like terms:
6x³ − 5x² − 39x + 35
5x − 2 is the opposite of 2x − 5, so you would get the negative of the answer from part (a).
Harvey is 3 times as old as Jane. The sum of their ages is 52 years. Find the age of each.
Jane is 13 and Harvey is 39
Jane is 12 and Harvey is 48
Jane is 13 and Harvey is 48
Answer:
13, 39
Step-by-step explanation:
H +J =52
H =3J
3J +J =52
4J =52
J =52 :4 =13 (Jane is 13
H =3 ×13 =39 (Harvey is 39
Answer:
Jane is 13 and Harvey is 39
Step-by-step explanation:
Please answer these with lots of detail. I want to be able to understand the topic and material well.
Step-by-step explanation:
Q3
(a) If 0 < |x − 1| < δ, then |f(x) − 2| < 2
What this means is, how far can x stray from the x=1 line such that f(x) stays within 2 units of the y=2 line (0 < f(x) < 4).
If we move 2 units left of x=1, we get f(x) = 4.
If we move about 3.5 units right of x=1, we get f(x) = 4.
Therefore, δ can't be more than 2.
(b) If 0 < |x| < δ, then |f(x) − 3| < 1
What this means is, how far can x stray from the x=0 line such that f(x) stays within 1 unit of the y=3 line (2 < f(x) < 4).
If we move 1 unit left of x=0, we get f(x) = 4.
If we move 1 unts right of x=0, we get f(x) = 2.
Therefore, δ can't be more than 1.
Since f(x) isn't continuous within this domain, we can't conclude that the limit exists.
Q4
(a) Yes. If δ = 0.25, then 0.75 < x < 1.25, and f(x) > 200.
(b) No. f(1) = 300, so even if δ = 0, f(x) will be less than 400.
(c) Yes. If δ ≈ 0.1, then 0.9 < x < 1, and f(x) > 450.
What is the absolute value of 3 2/3
Answer:
-3 2/3
Step-by-step explanation:
If the number is positive and they are asking for the absolute value it's always going to be negative of the number they are asking you for the absolute value of. Same thing if it was a negative 3 2/3 then the absolute value of -3 2/3 would be positive 3 2/3.
I hope this helped! <3
Answer: 3.66..
Step-by-step explanation: absolute value is the value of the number from the number 0 on the number line so, 3 ⅔ in decimals is 3.66... so the answer is 3.66... because that is how much the number is if you are counting from 0.
Question 2 of 5 Consider the polynomials given below. P(x) = 11x5 + 9x4 – 4x3 – 7x2 + 5 Q(x) = (2x2 + 1)(4x2– 3) Determine the operation that results in the simplified expression below. 11x5 + x4 – 4x3 – 5x2 + 8 PQ
Q-P
P+Q
P-Q
Answer: p-q
Step-by-step explanation:
Answer: P-Q is correct
Step-by-step explanation:
What is the area of this circle?
2cm
Area = [?] cm?
Round your answer to 2 decimal places
Answer:
12.57
Step-by-step explanation:
Not rounded it would be 12.56637
If you are just replacing pi with 3.14. than your answer would be exactly 12.56.
Solve for k.
12/k = 3
Answer:
k=3/12
k=.25
Step-by-step explanation:
we need to get k by itself
because 12 is over k we need to get rid of it by moving it to the other side (multiplying) because it is 12/k we need to multiply it by 1/12
This eliminates 12 and leaves us with k=3/12
Evaluate |c2 + b2|, given a = 5, b = -3, and c = -2.
Answer:
10
Step-by-step explanation:
This is the answer because:
1) First, insert all the numbers into the expression
Expression: I -2(2) + -3(2) I
2) Next, do -2 x 2 and -3 x 2
-2 x 2 = -4
-3 x 2 = -6
3) Then, do -4 + -6
-4 + -6 = -10
4) Finally, the absolute value of -10 is 10
Therefore the answer is 10
Hope this helps!
What is 3.18 written as a rational?
Answer:
[tex]\frac{318}{100}[/tex]
Step-by-step explanation:
A rational number can be expressed as
[tex]\frac{a}{b}[/tex] ← where a and b are integers
The 8 in 3.18 is in the hundredths position, thus
3.18 = [tex]\frac{318}{100}[/tex] ← as a rational number
(2,-4) and (6,2).
Find the mid point
Answer:
The answer is
( 4 , - 1)Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(2,-4) and (6,2)
The midpoint is
[tex]M = ( \frac{2 + 6}{ 2} , \: \frac{ - 4 + 2}{2} ) \\ = ( \frac{8}{2} \: , \: - \frac{2}{2} )[/tex]
We have the final answer as
( 4 , - 1)Hope this helps you
Answer:
The mid point must be (4,-1)
Step-by-step explanation:
mid point= [(X1+X2)/2 , (Y1+Y2)/2]
= [ (2+6)/2 , (-4+2)/2]
= [ 8/4 , -2/2]
= (4, -1)
A wheel whose radius is 50 centimeters completes 6 radians in 1 seconds. What is the linear speed of a point on the rim of the wheel? Convert your answer to meters per second (m/s).
Answer:
3m/seconds
Step-by-step explanation:
In this problem we are required to solve for linear speed of the rotating wheel
The linear speed =angular speed x raduis
Given data
Radius r= 50cm
Converting from cm to m
50/100= 0.5m
Angular velocity w= 6rad/s
V=wr
V= 6*0.5m
V=3m/s
The linear speed is 3m/seconds
Answer:
get from (4,1) to (2,9) go up 8 and over 2 left (-2) - (4 - 2, 1 + 8), do this again (2 - 2, 9+8) and end up at (0,17) which is the y how do you change 7x+3y=3 into slope intercept form.
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A DVD that originally cost $30 is on sale for 10 percent off. Complete the steps to solve the problem.
Answer:
$27
Step-by-step explanation:
10% of 30 = 3, so if we take 3 or 10% away from 30, you will get 27.
Answer:
27$
Step-by-step explanation:
0% of 30 = 3, so if we take 3 or 10% away from 30, you will get 27.
Find the area of a triangle with a 21 cm base and 4 cm height
Answer:
42 cm^2
Step-by-step explanation:
Base = 21 cm
Height = 4 cm
Area = [tex]\frac{base\times height}{2}[/tex]
Substitute values into the given equation
[tex]A = \frac{21\times 4}{2} \\\\A = \frac{84}{2} \\\\A = 42cm^2[/tex]
When dividing two numbers with the same base
Answer:
you subtract the exponents
PLEASE help me at 1 B !!!!
Answer:
a = 1, b = 4
Step-by-step explanation:
You have worked out part (a) correctly, that is
0.7575... = [tex]\frac{75}{99}[/tex] = [tex]\frac{25}{33}[/tex]
(b)
[tex]\frac{a}{11}[/tex] + [tex]\frac{b}{6}[/tex] = [tex]\frac{25}{33}[/tex]
[tex]\frac{6a+11b}{66}[/tex] = [tex]\frac{25}{33}[/tex]
Multiply numerator/ denominator of [tex]\frac{25}{33}[/tex] by 2, thus
[tex]\frac{25(2)}{33(2)}[/tex] = [tex]\frac{50}{66}[/tex] , then
[tex]\frac{6a+11b}{66}[/tex] = [tex]\frac{50}{66}[/tex] , thus
6a + 11b = 50
Choose a = 1 ( a positive integer ), then
6(1) + 11b = 50
6 + 11b = 50 ( subtract 6 from both sides )
11b = 44 ( divide both sides by 11 )
b = 4
a = 1, b = 4, so
[tex]\frac{1}{11}[/tex] + [tex]\frac{4}{6}[/tex] = [tex]\frac{25}{33\\}[/tex]
whats he approximete value of the square root of 8
Answer:
the approximate value of the square root of 8 is 2.828
6*10^-2 is how many times as large as 2*10^-8
Answer:
3000000
Step-by-step explanation:
6×[tex]10^{-2}[/tex] = 6 × 1/(10)² = 6 × 1/100 = 6/1002×[tex]10^{-8}[/tex] = 2 × 1/[tex]10^{8}[/tex] = 2 × 1/100000000 = 2/100000000Divide 6/100 and 2/100000000 to find how many times as large
The answer is 3000000
You need a piece of paper to measure 64 Dash 25 cylinders if you take two together that each measure 38.4 silver meters how much do you need to cut off
Answer:
The length needed to cut off is 12.55 cm
Step-by-step explanation:
The corrected question is:
you need a piece of paper to measure 64.25 cm. If you tape two together that each measure 38.4 cm, how much do you need to cut off?
Solution:
measurement/length of each paper piece = 38.4 cm
measurement/ length required = 64.25 cm
If length of one paper piece is 38.4 cm then if we tape 2 pieces together then the measurement or length is calculated as:
38.4 + 38.4 = 76.8 cm
So to calculate how much we need to cut off:
length required to cutoff = total length of two pieces - length required
= 76.8 - 64.25
= 12.55 cm
So the length required to cut off is 12.55 cm